Fast algorithms for computing the Boltzmann collision operator
Pareschi, Lorenzo; Mouhot, Clément (2006), Fast algorithms for computing the Boltzmann collision operator, Mathematics of Computation, 75, 256, p. 1833-1852
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00087285/en/
Journal nameMathematics of Computation
MetadataShow full item record
Abstract (EN)The development of accurate and fast numerical schemes for the five fold Boltzmann collision integral represents a challenging problem in scientific computing. For a particular class of interactions, including the so-called hard spheres model in dimension three, we are able to derive spectral methods that can be evaluated through fast algorithms. These algorithms are based on a suitable representation and approximation of the collision operator. Explicit expressions for the errors in the schemes are given and spectral accuracy is proved. Parallelization properties and adaptivity of the algorithms are also discussed.
Subjects / Keywordsfast algorithms; discrete velocity methods; spectral methods; Boltzmann equation
Showing items related by title and author.